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A First Course In Partial Differential Equations


A First Course In Partial Differential Equations
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A First Course In Partial Differential Equations


A First Course In Partial Differential Equations
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Author : H. F. Weinberger
language : en
Publisher: Courier Corporation
Release Date : 2012-04-20

A First Course In Partial Differential Equations written by H. F. Weinberger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.


Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.



A First Course In Partial Differential Equations


A First Course In Partial Differential Equations
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Author : J. Robert Buchanan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-09

A First Course In Partial Differential Equations written by J. Robert Buchanan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09 with Mathematics categories.


This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.



A First Course In Partial Differential Equations With Complex Variables And Transform Methods


A First Course In Partial Differential Equations With Complex Variables And Transform Methods
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Author : Hans F. Weinberger
language : en
Publisher:
Release Date : 1996

A First Course In Partial Differential Equations With Complex Variables And Transform Methods written by Hans F. Weinberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




A First Course In Partial Differential Equations


A First Course In Partial Differential Equations
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Author : J Robert Buchanan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-10-30

A First Course In Partial Differential Equations written by J Robert Buchanan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.


This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered.This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.



A First Course In Partial Differential Equations With Complex Variables And Transform Methods


A First Course In Partial Differential Equations With Complex Variables And Transform Methods
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Author : Hans F. Weinberger
language : en
Publisher:
Release Date : 1965

A First Course In Partial Differential Equations With Complex Variables And Transform Methods written by Hans F. Weinberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Differential equations, Partial categories.




A First Course In Differential Equations


A First Course In Differential Equations
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Author : J. David Logan
language : en
Publisher: Springer
Release Date : 2015-07-01

A First Course In Differential Equations written by J. David Logan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Mathematics categories.


The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.



An Elementary Course On Partial Differential Equations


An Elementary Course On Partial Differential Equations
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Author : Aftab Alam
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-05

An Elementary Course On Partial Differential Equations written by Aftab Alam and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-05 with Mathematics categories.


Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their historical backgrounds, theoretical rigour, and geometric significance. The book is divided into three parts. It starts with basic topics like ordinary differential equations, multivariable calculus, and geometry. This is followed by important techniques to solve certain types of partial differential equations. The last part is devoted to first, second, and higher-order PDEs. The chapters have been arranged to help students develop their knowledge gradually and systematically. Each method is discussed through theoretical descriptions in the form of theorems followed by illustrative problems to help the readers. Finally, numerous solved examples and practice problems helps the student learn to apply this knowledge.



Partial Differential Equations


Partial Differential Equations
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Author : David Colton
language : en
Publisher: Courier Corporation
Release Date : 2012-06-14

Partial Differential Equations written by David Colton and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Mathematics categories.


This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.



A First Course In Partial Differential Equations With Complex Variables And Transform Methods


A First Course In Partial Differential Equations With Complex Variables And Transform Methods
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Author : Darl H. McDaniel
language : en
Publisher:
Release Date : 1965

A First Course In Partial Differential Equations With Complex Variables And Transform Methods written by Darl H. McDaniel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.




A First Course In The Numerical Analysis Of Differential Equations


A First Course In The Numerical Analysis Of Differential Equations
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2008-11-27

A First Course In The Numerical Analysis Of Differential Equations written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Mathematics categories.


Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.